At a time when so many scholars in the world are calculating, is it not desirable that some, who can, dream ?
Rene ThomTopology is precisely the mathematical discipline that allows the passage from local to global.
Rene ThomCatastrophe Theory is-quite likely-the first coherent attempt (since Aristotelian logic) to give a theory on analogy. When narrow-minded scientists object to Catastrophe Theory that it gives no more than analogies, or metaphors, they do not realise that they are stating the proper aim of Catastrophe Theory, which is to classify all possible types of analogous situations.
Rene ThomThe importance of the "New Mathematics" lies mainly in the fact that it has taught us the difference between the disc and the circle.
Rene Thom